Basic Sequences in the Space of Measurable Functions
نویسندگان
چکیده
منابع مشابه
Definitions and Basic Properties of Measurable Functions
In this article we introduce some definitions concerning measurable functions and prove related properties. In this paper k is a natural number, r is a real number, i is an integer, and q is a rational number. The subset Z − of R is defined by: (Def. 1) r ∈ Z − iff there exists k such that r = −k. Let us note that Z − is non empty. The following three propositions are true: (1) N ≈ Z −. Z is a ...
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amsppt.styFSp90a.tex Pointwise compact and stable sets of measurable functions Introduction In a series of papers culminating in [Ta84], M.Talagrand, the second author and others investigated at length the properties and structure of pointwise compact sets of measurable functions. A number of problems, interesting in themselves and important for the theory of Pettis integration, were solved sub...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1960
ISSN: 0002-9939
DOI: 10.2307/2032957